Dynamics MOC

Quasiperiodic motion

Quasiperiodic motion of order 𝑘 is the result of dynamics with 𝑘 periodic components with rationally independent frequencies.1 #m/def/dynamics While a quasiperiodic trajectory will never repeat itself, this kind of motion in qualitatively different to Chaos. (why? #to/elaborate) The natural manifold for 𝑘th order quasiperiodic dynamics is the 𝑘-torus. Thus for euclidean manifolds the minimum dimension for quasiperiodic dynamics is 3.

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Footnotes

  1. 2022. Nonlinear dynamics: A concise introduction interlaced with code ↩